Site icon Full-Stack

Trees

Tree Data Structures Mastery

Tree Data Structures

Master hierarchical data organization with Binary Trees, BST, AVL Trees. Learn tree traversal algorithms, self-balancing techniques, and real-world applications for efficient searching and sorting.

Binary Search Tree Implementation

class TreeNode {
    constructor(value) {
        this.value = value;
        this.left = null;
        this.right = null;
    }
}

class BinarySearchTree {
    constructor() {
        this.root = null;
    }
    
    insert(value) {
        const newNode = new TreeNode(value);
        if (!this.root) {
            this.root = newNode;
            return this;
        }
        
        let current = this.root;
        while (true) {
            if (value === current.value) return undefined;
            if (value < current.value) {
                if (!current.left) {
                    current.left = newNode;
                    return this;
                }
                current = current.left;
            } else {
                if (!current.right) {
                    current.right = newNode;
                    return this;
                }
                current = current.right;
            }
        }
    }
    
    search(value) {
        if (!this.root) return false;
        let current = this.root;
        while (current) {
            if (value === current.value) return true;
            if (value < current.value) {
                current = current.left;
            } else {
                current = current.right;
            }
        }
        return false;
    }
    
    // Inorder Traversal (DFS)
    inorder(node = this.root, result = []) {
        if (node) {
            this.inorder(node.left, result);
            result.push(node.value);
            this.inorder(node.right, result);
        }
        return result;
    }
}

Why Learn Tree Data Structures?

Hierarchical Data

Master organization of hierarchical data like file systems and organization charts

Efficient Searching

BST provides O(log n) search complexity for balanced trees

Balanced Structures

Learn self-balancing trees (AVL) for optimal performance

Real Applications

Used in databases, compilers, file systems, and game AI

Course Curriculum

Module 1: Introduction to Trees

  • Definition of a Tree
  • Tree Terminology (Node, Root, Parent, Child)
  • Leaf Nodes & Height/Depth
  • Applications of Trees
  • Tree vs Graph Differences

Module 2: Binary Trees

  • Binary Tree Definition
  • Full, Complete & Perfect Binary Trees
  • Linked List & Array Representation
  • Basic Operations (Insertion, Deletion)
  • Searching in Binary Trees

Module 3: Binary Search Trees (BST)

  • BST Property & Definition
  • Search, Insert, Delete Operations
  • Time Complexity Analysis
  • Advantages & Disadvantages
  • Applications: Dictionary, Priority Queue

Module 4: AVL Trees

  • Need for Self-Balancing Trees
  • Balance Factor Concept
  • Rotations (Left, Right, Left-Right, Right-Left)
  • Insertion & Deletion Examples
  • Time Complexity Analysis

Module 5: Tree Traversal

  • Depth-First Traversal (DFS)
  • Inorder, Preorder, Postorder
  • Breadth-First Traversal (BFS)
  • Level Order Traversal
  • Applications: Expression Trees, Sorting

Types of Binary Trees

Full Binary Tree

Every node has 0 or 2 children

Complete Binary Tree

All levels completely filled except last

Perfect Binary Tree

All internal nodes have 2 children

Balanced Tree

Height difference ≤ 1 for all nodes

Practical Projects

File System Browser

  • Tree-based directory navigation
  • Implement file operations
  • Search files efficiently
  • Display hierarchical structure

Expression Evaluator

  • Parse mathematical expressions
  • Build expression trees
  • Evaluate using tree traversal
  • Handle parentheses & operators

Auto-Complete System

  • Trie data structure implementation
  • Prefix-based searching
  • Efficient word suggestions
  • Real-time updates

Master Tree Data Structures

Join thousands of developers who have mastered hierarchical data organization and efficient searching algorithms with our comprehensive tree data structures curriculum.

Start Learning Now
Exit mobile version